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Simplifying 2 + -1(4x + -26) = 7(x + -2) Reorder the terms: 2 + -1(-26 + 4x) = 7(x + -2) 2 + (-26 * -1 + 4x * -1) = 7(x + -2) 2 + (26 + -4x) = 7(x + -2) Combine like terms: 2 + 26 = 28 28 + -4x = 7(x + -2) Reorder the terms: 28 + -4x = 7(-2 + x) 28 + -4x = (-2 * 7 + x * 7) 28 + -4x = (-14 + 7x) Solving 28 + -4x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 28 + -4x + -7x = -14 + 7x + -7x Combine like terms: -4x + -7x = -11x 28 + -11x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + -11x = -14 + 0 28 + -11x = -14 Add '-28' to each side of the equation. 28 + -28 + -11x = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = -14 + -28 -11x = -14 + -28 Combine like terms: -14 + -28 = -42 -11x = -42 Divide each side by '-11'. x = 3.818181818 Simplifying x = 3.818181818
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